Theorems · Theorem · number theory
NNRat.toNNRat_sum_of_nonneg
∀ {α : Type u_1} {s : Finset α} {f : α → ℚ}, (∀ a ∈ s, 0 ≤ f a) → (∑ a ∈ s, f a).toNNRat = ∑ a ∈ s, (f a).toNNRat- Defined in
- Mathlib.Data.NNRat.BigOperators
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- Finset.sumstatement and proof · cited by 5,195
- Finset.sum_congrproof · cited by 2,323
- NNRatstatement · cited by 523
- NNRat.castproof · cited by 235
- Finset.sum_nonnegproof · cited by 91
- Rat.toNNRatstatement and proof · cited by 29
- Rat.coe_toNNRatproof · cited by 6
- NNRat.coe_injproof · cited by 5
- NNRat.cast_sumproof · cited by 1
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